{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WYYED2QBPPQ4LWN4BUM53LPV56","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c7ee4371184917ad65930ff9e798faa13faec7d74c38b9c3d450a3753ddfaea6","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-11-16T12:53:20Z","title_canon_sha256":"dceb19387b24e13005661c7d3b3e691f0eeb5674b2372ab3f439096ddcb92d71"},"schema_version":"1.0","source":{"id":"1811.06785","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06785","created_at":"2026-05-17T23:52:58Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06785v2","created_at":"2026-05-17T23:52:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06785","created_at":"2026-05-17T23:52:58Z"},{"alias_kind":"pith_short_12","alias_value":"WYYED2QBPPQ4","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WYYED2QBPPQ4LWN4","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WYYED2QB","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:a5c3591f102221b66cf22b337a620344a899e438e334f1a9eb5d7b261e8ee8bb","target":"graph","created_at":"2026-05-17T23:52:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We completely solve the inverse Galois problem for del Pezzo surfaces of degree $2$ and $3$ over all finite fields.","authors_text":"Andrey Trepalin, Daniel Loughran","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-11-16T12:53:20Z","title":"Inverse Galois problem for del Pezzo surfaces over finite fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06785","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c16c73eb2741ccd94adb0d3a8cc1c2be95a17b75992378389e2486d4d3917092","target":"record","created_at":"2026-05-17T23:52:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c7ee4371184917ad65930ff9e798faa13faec7d74c38b9c3d450a3753ddfaea6","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-11-16T12:53:20Z","title_canon_sha256":"dceb19387b24e13005661c7d3b3e691f0eeb5674b2372ab3f439096ddcb92d71"},"schema_version":"1.0","source":{"id":"1811.06785","kind":"arxiv","version":2}},"canonical_sha256":"b63041ea017be1c5d9bc0d19ddadf5ef9fa6859f134f9a8739a2603a1d244251","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b63041ea017be1c5d9bc0d19ddadf5ef9fa6859f134f9a8739a2603a1d244251","first_computed_at":"2026-05-17T23:52:58.548089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:58.548089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qDh5iHXCqYiqiCPk0bxaJE9xlt3C9u9Oh1+AJvzgYbDD2MbeT41QkkilxcUxoAHuk6k3TWl5KsmckrfIM7dWDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:58.548760Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.06785","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c16c73eb2741ccd94adb0d3a8cc1c2be95a17b75992378389e2486d4d3917092","sha256:a5c3591f102221b66cf22b337a620344a899e438e334f1a9eb5d7b261e8ee8bb"],"state_sha256":"95110b1c9b17e274fbb35a87e8ef3fef789c2b55fbcfb421b5135722f9c129c0"}